No. Read the real ownership and operational control that allows the applicant to develop and direct the enterprise. The family relationship is not the authority itself.
Assess the enterprise and the individual separately
Treaty ownership of at least 50% by nationals of the relevant country is a distinct condition. A shared surname or joint budget cannot replace the actual ownership and management rights.
The enterprise must be an active commercial undertaking producing goods or services for profit, not a passive holding of land or equipment, and it must have the present or future capacity to generate more than a minimal living for the investor and family. Provisions that concern consular officers include requirements for unanimous consent on operating decisions, a minority veto over hiring or spending within normal ranges, a deadlock mechanism that hands control to the minority, or a management agreement placing operations with someone else. E-2 also requires treaty nationality for the investor and enterprise, lawful source and path, capital irrevocably committed and at risk, an amount substantial relative to the cost of buying or establishing the business, and a real operating enterprise that is more than marginal. An established business helps with the real-and-operating and non-marginal questions, but nationality, irrevocable commitment of funds, substantiality and the investor's ability to develop and direct still have to be shown on their own facts.